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51. False, since the graph isn't continuous,
there are parts where it decreases.

correct
52.True, asymtotes apear when the denominator = 0.
Therefore, if a makes the denominator 0 in
sec (1/cos) than cos a = 0.
Finally, in cot (cos/sin),
cos a is in the numerator which makes the result be 0.

correct - good explanation!
53. A, -tan x

correct
54. E, sin x

correct